NOTE ON THE SOBOLEV'S THEOREM AND ITS APPLICATION TO THE LOCAL ESTIMATES FOR GENERALIZED SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Akira ONO

doi:10.2206/kyushumfs.20.56

NOTE ON THE SOBOLEV'S THEOREM AND ITS APPLICATION TO THE LOCAL ESTIMATES FOR GENERALIZED SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.20.56 ◽

1966 ◽

Vol 20 (1) ◽

pp. 56-60

Author(s):

Akira ONO

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Generalized Solutions ◽

Partial Differential

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ON THE LOCAL REGURALITY OF GENERALIZED SOLUTIONS OF LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.14.134 ◽

1960 ◽

Vol 14 (2) ◽

pp. 134-138

Author(s):

Yukio SUYAMA ◽

Akira ONO

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Generalized Solutions ◽

Partial Differential

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NOTE ON THE LOCAL ESTIMATES FOR GENERALIZED SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.18.109 ◽

1964 ◽

Vol 18 (1) ◽

pp. 109-113 ◽

Cited By ~ 1

Author(s):

Nobunori IKEBE ◽

Akira ONO

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Generalized Solutions ◽

Partial Differential

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A priori estimates for solutions of elliptic partial differential equations on surfaces

10.32469/10355/10133 ◽

2009 ◽

Author(s):

Heidi Steenblock

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

A Priori Estimates ◽

A Priori ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Priori Estimates

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Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/140971890 ◽

2015 ◽

Vol 53 (1) ◽

pp. 405-420 ◽

Cited By ~ 3

Author(s):

Zhiqiang Cai ◽

Rob Falgout ◽

Shun Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Order System ◽

Partial Differential ◽

First Order

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Transformation of elliptic partial differential equations for solving two-dimensional boundary value problems in fluid flow

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620100304 ◽

1976 ◽

Vol 10 (3) ◽

pp. 527-533 ◽

Cited By ~ 13

Author(s):

J. D. Boadway

Keyword(s):

Fluid Flow ◽

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Partial Differential Equations ◽

Two Dimensional ◽

Partial Differential ◽

Dimensional Boundary

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Adams type inequalities and related elliptic partial differential equations in dimension four

Journal of Differential Equations ◽

10.1016/j.jde.2011.08.027 ◽

2012 ◽

Vol 252 (3) ◽

pp. 2266-2295 ◽

Cited By ~ 24

Author(s):

Yunyan Yang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations

Concurrency and Computation Practice and Experience ◽

10.1002/cpe.569 ◽

2001 ◽

Vol 13 (5) ◽

pp. 327-350 ◽

Cited By ~ 25

Author(s):

Randolph E. Bank ◽

Peter K. Jimack

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Elliptic Partial Differential Equations ◽

Adaptive Finite Element ◽

Element Solution ◽

Partial Differential

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Bounded point evaluations and approximation in Lp by solutions of elliptic partial differential equations

Journal of Functional Analysis ◽

10.1016/0022-1236(78)90077-0 ◽

1978 ◽

Vol 28 (1) ◽

pp. 1-20 ◽

Cited By ~ 4

Author(s):

Claes Fernström ◽

John C Polking

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Point Evaluations

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Elliptic partial differential equations

Numerical Modeling for Electromagnetic Non-Destructive Evaluation ◽

10.1007/978-1-4757-0560-7_6 ◽

1995 ◽

pp. 212-236

Author(s):

Nathan Ida

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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Performance of hp-adaptive strategies for elliptic partial differential equations

10.1063/1.4912924 ◽

2015 ◽

Author(s):

William F. Mitchell ◽

Marjorie A. McClain

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Adaptive Strategies ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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